Algebra Examples

$\frac{x^{8} y^{6} y^{4}}{x^{- 1}}$

Step 1

Multiply $y^{6}$ by $y^{4}$ by adding the exponents.

Tap for more steps...

Step 1.1

Move $y^{4}$ .

$\frac{x^{8} (y^{4} y^{6})}{x^{- 1}}$

Step 1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{x^{8} y^{4 + 6}}{x^{- 1}}$

Step 1.3

Add $4$ and $6$ .

$\frac{x^{8} y^{10}}{x^{- 1}}$

Step 2

Move $x^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$x^{8} y^{10} x$

Step 3

Multiply $x^{8}$ by $x$ by adding the exponents.

Tap for more steps...

Step 3.1

Move $x$ .

$x \cdot x^{8} y^{10}$

Step 3.2

Multiply $x$ by $x^{8}$ .

Tap for more steps...

Step 3.2.1

Raise $x$ to the power of $1$ .

$x^{1} x^{8} y^{10}$

Step 3.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{1 + 8} y^{10}$

Step 3.3

Add $1$ and $8$ .

$x^{9} y^{10}$